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sci.Darcy-radial-flow-inflow Calculator
Calculates radial groundwater flow rate to a well using Darcy's law in radial coordinates: Q = 2πkb(h₂−h₁)/ln(r₂/r₁). Radial flow equations assume a confined aquifer with horizontal, homogeneous, isotropic properties — this is the basis of the Theis and Cooper-Jacob pump test analysis.
Inputs
K Md
Reference formula or conversion factor shown for context.
H M
Perpendicular measurement through the material. For insulation: thicker is better. For beams: directly affects bending resistance.
Mu Cp
Fluid resistance to flow. Water at 20°C: ~1 cP. Honey: 2,000–10,000 cP. Higher viscosity increases pumping power requirements.
Re M
Distance from centre to edge of a circle. Radius = diameter / 2.
Rw M
Distance from centre to edge of a circle. Radius = diameter / 2.
Pe Mpa
Force per unit area (Pa). Atmospheric pressure at sea level: 101,325 Pa. Check whether gauge or absolute pressure is required.
Pw Mpa
Force per unit area (Pa). Atmospheric pressure at sea level: 101,325 Pa. Check whether gauge or absolute pressure is required.
Results
flow rate Q (m³/day)
Flow rate Q — the volume of fluid passing a point per unit time.
flow rate Q (bbl/day)
Flow rate Q — the volume of fluid passing a point per unit time.
flow rate Q (m³/s)
Flow rate Q — the volume of fluid passing a point per unit time.
productivity index PI (m³/day/MPa)
The result of multiplying all input values together.